xref: /petsc/src/snes/interface/snes.c (revision 76be9ce4a233aaa47cda2bc7f5a27cd7faabecaa) !

#ifdef PETSC_RCS_HEADER
static char vcid[] = "$Id: snes.c,v 1.136 1998/01/06 20:12:19 bsmith Exp bsmith $";
#endif

#include "src/snes/snesimpl.h"      /*I "snes.h"  I*/
#include "src/sys/nreg.h"
#include "pinclude/pviewer.h"
#include <math.h>

int SNESRegisterAllCalled = 0;
static NRList *__SNESList = 0;

#undef __FUNC__
#define __FUNC__ "SNESView"
/*@
   SNESView - Prints the SNES data structure.

   Input Parameters:
.  SNES - the SNES context
.  viewer - visualization context

   Options Database Key:
$  -snes_view : calls SNESView() at end of SNESSolve()

   Notes:
   The available visualization contexts include
$     VIEWER_STDOUT_SELF - standard output (default)
$     VIEWER_STDOUT_WORLD - synchronized standard
$       output where only the first processor opens
$       the file.  All other processors send their
$       data to the first processor to print.

   The user can open alternative vistualization contexts with
$    ViewerFileOpenASCII() - output to a specified file

.keywords: SNES, view

.seealso: ViewerFileOpenASCII()
@*/
int SNESView(SNES snes,Viewer viewer)
{
  SNES_KSP_EW_ConvCtx *kctx;
  FILE                *fd;
  int                 ierr;
  SLES                sles;
  char                *method;
  ViewerType          vtype;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  if (viewer) {PetscValidHeader(viewer);}
  else { viewer = VIEWER_STDOUT_SELF; }

  ierr = ViewerGetType(viewer,&vtype); CHKERRQ(ierr);
  if (vtype == ASCII_FILE_VIEWER || vtype == ASCII_FILES_VIEWER) {
    ierr = ViewerASCIIGetPointer(viewer,&fd); CHKERRQ(ierr);
    PetscFPrintf(snes->comm,fd,"SNES Object:\n");
    SNESGetType(snes,PETSC_NULL,&method);
    PetscFPrintf(snes->comm,fd,"  method: %s\n",method);
    if (snes->view) (*snes->view)((PetscObject)snes,viewer);
    PetscFPrintf(snes->comm,fd,
      "  maximum iterations=%d, maximum function evaluations=%d\n",
      snes->max_its,snes->max_funcs);
    PetscFPrintf(snes->comm,fd,
    "  tolerances: relative=%g, absolute=%g, truncation=%g, solution=%g\n",
      snes->rtol, snes->atol, snes->trunctol, snes->xtol);
    PetscFPrintf(snes->comm,fd,
    "  total number of linear solver iterations=%d\n",snes->linear_its);
    PetscFPrintf(snes->comm,fd,
     "  total number of function evaluations=%d\n",snes->nfuncs);
    if (snes->method_class == SNES_UNCONSTRAINED_MINIMIZATION)
      PetscFPrintf(snes->comm,fd,"  min function tolerance=%g\n",snes->fmin);
    if (snes->ksp_ewconv) {
      kctx = (SNES_KSP_EW_ConvCtx *)snes->kspconvctx;
      if (kctx) {
        PetscFPrintf(snes->comm,fd,
     "  Eisenstat-Walker computation of KSP relative tolerance (version %d)\n",
        kctx->version);
        PetscFPrintf(snes->comm,fd,
          "    rtol_0=%g, rtol_max=%g, threshold=%g\n",kctx->rtol_0,
          kctx->rtol_max,kctx->threshold);
        PetscFPrintf(snes->comm,fd,"    gamma=%g, alpha=%g, alpha2=%g\n",
          kctx->gamma,kctx->alpha,kctx->alpha2);
      }
    }
  } else if (vtype == STRING_VIEWER) {
    SNESGetType(snes,PETSC_NULL,&method);
    ViewerStringSPrintf(viewer," %-3.3s",method);
  }
  SNESGetSLES(snes,&sles);
  ierr = SLESView(sles,viewer); CHKERRQ(ierr);
  PetscFunctionReturn(0);
}

/*
       We retain a list of functions that also take SNES command
    line options. These are called at the end SNESSetFromOptions()
*/
#define MAXSETFROMOPTIONS 5
static int numberofsetfromoptions;
static int (*othersetfromoptions[MAXSETFROMOPTIONS])(SNES);

#undef __FUNC__
#define __FUNC__ "SNESAddOptionsChecker"
/*@
    SNESAddOptionsChecker - Adds an additional function to check for SNES options.

    Input Parameter:
.   snescheck - function that checks for options

.seealso: SNESSetFromOptions()
@*/
int SNESAddOptionsChecker(int (*snescheck)(SNES) )
{
  PetscFunctionBegin;
  if (numberofsetfromoptions >= MAXSETFROMOPTIONS) {
    SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,0,"Too many options checkers, only 5 allowed");
  }

  othersetfromoptions[numberofsetfromoptions++] = snescheck;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESSetFromOptions"
/*@
   SNESSetFromOptions - Sets various SNES and SLES parameters from user options.

   Input Parameter:
.  snes - the SNES context

   Notes:
   To see all options, run your program with the -help option or consult
   the users manual.

.keywords: SNES, nonlinear, set, options, database

.seealso: SNESPrintHelp(), SNESSetOptionsPrefix()
@*/
int SNESSetFromOptions(SNES snes)
{
  SNESType method;
  double   tmp;
  SLES     sles;
  int      ierr, flg,i,loc[4],nmax = 4;
  int      version   = PETSC_DEFAULT;
  double   rtol_0    = PETSC_DEFAULT;
  double   rtol_max  = PETSC_DEFAULT;
  double   gamma2    = PETSC_DEFAULT;
  double   alpha     = PETSC_DEFAULT;
  double   alpha2    = PETSC_DEFAULT;
  double   threshold = PETSC_DEFAULT;

  PetscFunctionBegin;
  loc[0] = PETSC_DECIDE; loc[1] = PETSC_DECIDE; loc[2] = 300; loc[3] = 300;

  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  if (snes->setup_called) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,0,"Must call prior to SNESSetUp");

  if (!__SNESList) {ierr = SNESRegisterAll();CHKERRQ(ierr);}
  ierr = NRGetTypeFromOptions(snes->prefix,"-snes_type",__SNESList,&method,&flg);CHKERRQ(ierr);
  if (flg) {
    ierr = SNESSetType(snes,method); CHKERRQ(ierr);
  } else if (!snes->set_method_called) {
    if (snes->method_class == SNES_NONLINEAR_EQUATIONS) {
      ierr = SNESSetType(snes,SNES_EQ_LS); CHKERRQ(ierr);
    } else {
      ierr = SNESSetType(snes,SNES_UM_TR); CHKERRQ(ierr);
    }
  }

  ierr = OptionsHasName(PETSC_NULL,"-help", &flg); CHKERRQ(ierr);
  if (flg) { ierr = SNESPrintHelp(snes); CHKERRQ(ierr);}
  ierr = OptionsGetDouble(snes->prefix,"-snes_stol",&tmp, &flg); CHKERRQ(ierr);
  if (flg) {
    ierr = SNESSetTolerances(snes,PETSC_DEFAULT,PETSC_DEFAULT,tmp,PETSC_DEFAULT,PETSC_DEFAULT);CHKERRQ(ierr);
  }
  ierr = OptionsGetDouble(snes->prefix,"-snes_atol",&tmp, &flg); CHKERRQ(ierr);
  if (flg) {
    ierr = SNESSetTolerances(snes,tmp,PETSC_DEFAULT,PETSC_DEFAULT,PETSC_DEFAULT,PETSC_DEFAULT);CHKERRQ(ierr);
  }
  ierr = OptionsGetDouble(snes->prefix,"-snes_rtol",&tmp, &flg);  CHKERRQ(ierr);
  if (flg) {
    ierr = SNESSetTolerances(snes,PETSC_DEFAULT,tmp,PETSC_DEFAULT,PETSC_DEFAULT,PETSC_DEFAULT);CHKERRQ(ierr);
  }
  ierr = OptionsGetInt(snes->prefix,"-snes_max_it",&snes->max_its, &flg); CHKERRQ(ierr);
  ierr = OptionsGetInt(snes->prefix,"-snes_max_funcs",&snes->max_funcs, &flg);CHKERRQ(ierr);
  ierr = OptionsGetDouble(snes->prefix,"-snes_trtol",&tmp, &flg); CHKERRQ(ierr);
  if (flg) { ierr = SNESSetTrustRegionTolerance(snes,tmp); CHKERRQ(ierr); }
  ierr = OptionsGetDouble(snes->prefix,"-snes_fmin",&tmp, &flg); CHKERRQ(ierr);
  if (flg) { ierr = SNESSetMinimizationFunctionTolerance(snes,tmp);  CHKERRQ(ierr);}
  ierr = OptionsHasName(snes->prefix,"-snes_ksp_ew_conv", &flg); CHKERRQ(ierr);
  if (flg) { snes->ksp_ewconv = 1; }
  ierr = OptionsGetInt(snes->prefix,"-snes_ksp_ew_version",&version,&flg); CHKERRQ(ierr);
  ierr = OptionsGetDouble(snes->prefix,"-snes_ksp_ew_rtol0",&rtol_0,&flg); CHKERRQ(ierr);
  ierr = OptionsGetDouble(snes->prefix,"-snes_ksp_ew_rtolmax",&rtol_max,&flg);CHKERRQ(ierr);
  ierr = OptionsGetDouble(snes->prefix,"-snes_ksp_ew_gamma",&gamma2,&flg); CHKERRQ(ierr);
  ierr = OptionsGetDouble(snes->prefix,"-snes_ksp_ew_alpha",&alpha,&flg); CHKERRQ(ierr);
  ierr = OptionsGetDouble(snes->prefix,"-snes_ksp_ew_alpha2",&alpha2,&flg); CHKERRQ(ierr);
  ierr = OptionsGetDouble(snes->prefix,"-snes_ksp_ew_threshold",&threshold,&flg);CHKERRQ(ierr);

  ierr = OptionsHasName(snes->prefix,"-snes_no_convergence_test",&flg); CHKERRQ(ierr);
  if (flg) {snes->converged = 0;}

  ierr = SNES_KSP_SetParametersEW(snes,version,rtol_0,rtol_max,gamma2,alpha,
                                  alpha2,threshold); CHKERRQ(ierr);
  ierr = OptionsHasName(snes->prefix,"-snes_cancelmonitors",&flg); CHKERRQ(ierr);
  if (flg) {ierr = SNESSetMonitor(snes,0,0);CHKERRQ(ierr);}
  ierr = OptionsHasName(snes->prefix,"-snes_monitor",&flg); CHKERRQ(ierr);
  if (flg) {ierr = SNESSetMonitor(snes,SNESDefaultMonitor,0);CHKERRQ(ierr);}
  ierr = OptionsHasName(snes->prefix,"-snes_smonitor",&flg); CHKERRQ(ierr);
  if (flg) {
   ierr = SNESSetMonitor(snes,SNESDefaultSMonitor,0);  CHKERRQ(ierr);
  }
  ierr = OptionsGetIntArray(snes->prefix,"-snes_xmonitor",loc,&nmax,&flg);CHKERRQ(ierr);
  if (flg) {
    int    rank = 0;
    DrawLG lg;
    MPI_Initialized(&rank);
    if (rank) MPI_Comm_rank(snes->comm,&rank);
    if (!rank) {
      ierr = SNESLGMonitorCreate(0,0,loc[0],loc[1],loc[2],loc[3],&lg); CHKERRQ(ierr);
      ierr = SNESSetMonitor(snes,SNESLGMonitor,(void *)lg); CHKERRQ(ierr);
      snes->xmonitor = lg;
      PLogObjectParent(snes,lg);
    }
  }
  ierr = OptionsHasName(snes->prefix,"-snes_fd", &flg);  CHKERRQ(ierr);
  if (flg && snes->method_class == SNES_NONLINEAR_EQUATIONS) {
    ierr = SNESSetJacobian(snes,snes->jacobian,snes->jacobian_pre,
                 SNESDefaultComputeJacobian,snes->funP); CHKERRQ(ierr);
    PLogInfo(snes,"SNESSetFromOptions: Setting default finite difference Jacobian matrix\n");
  } else if (flg && snes->method_class == SNES_UNCONSTRAINED_MINIMIZATION) {
    ierr = SNESSetHessian(snes,snes->jacobian,snes->jacobian_pre,
                 SNESDefaultComputeHessian,snes->funP); CHKERRQ(ierr);
    PLogInfo(snes,"SNESSetFromOptions: Setting default finite difference Hessian matrix\n");
  }

  for ( i=0; i<numberofsetfromoptions; i++ ) {
    ierr = (*othersetfromoptions[i])(snes); CHKERRQ(ierr);
  }

  ierr = SNESGetSLES(snes,&sles); CHKERRQ(ierr);
  ierr = SLESSetFromOptions(sles); CHKERRQ(ierr);
  if (snes->setfromoptions) {
    ierr = (*snes->setfromoptions)(snes);CHKERRQ(ierr);
  }
  PetscFunctionReturn(0);
}


#undef __FUNC__
#define __FUNC__ "SNESSetApplicationContext"
/*@
   SNESSetApplicationContext - Sets the optional user-defined context for
   the nonlinear solvers.

   Input Parameters:
.  snes - the SNES context
.  usrP - optional user context

.keywords: SNES, nonlinear, set, application, context

.seealso: SNESGetApplicationContext()
@*/
int SNESSetApplicationContext(SNES snes,void *usrP)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  snes->user		= usrP;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESGetApplicationContext"
/*@C
   SNESGetApplicationContext - Gets the user-defined context for the
   nonlinear solvers.

   Input Parameter:
.  snes - SNES context

   Output Parameter:
.  usrP - user context

.keywords: SNES, nonlinear, get, application, context

.seealso: SNESSetApplicationContext()
@*/
int SNESGetApplicationContext( SNES snes,  void **usrP )
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  *usrP = snes->user;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESGetIterationNumber"
/*@
   SNESGetIterationNumber - Gets the current iteration number of the
   nonlinear solver.

   Input Parameter:
.  snes - SNES context

   Output Parameter:
.  iter - iteration number

.keywords: SNES, nonlinear, get, iteration, number
@*/
int SNESGetIterationNumber(SNES snes,int* iter)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  PetscValidIntPointer(iter);
  *iter = snes->iter;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESGetFunctionNorm"
/*@
   SNESGetFunctionNorm - Gets the norm of the current function that was set
   with SNESSSetFunction().

   Input Parameter:
.  snes - SNES context

   Output Parameter:
.  fnorm - 2-norm of function

   Note:
   SNESGetFunctionNorm() is valid for SNES_NONLINEAR_EQUATIONS methods only.
   A related routine for SNES_UNCONSTRAINED_MINIMIZATION methods is
   SNESGetGradientNorm().

.keywords: SNES, nonlinear, get, function, norm

.seealso: SNESSetFunction()
@*/
int SNESGetFunctionNorm(SNES snes,Scalar *fnorm)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  PetscValidScalarPointer(fnorm);
  if (snes->method_class != SNES_NONLINEAR_EQUATIONS) {
    SETERRQ(PETSC_ERR_ARG_WRONGSTATE,0,"For SNES_NONLINEAR_EQUATIONS only");
  }
  *fnorm = snes->norm;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESGetGradientNorm"
/*@
   SNESGetGradientNorm - Gets the norm of the current gradient that was set
   with SNESSSetGradient().

   Input Parameter:
.  snes - SNES context

   Output Parameter:
.  fnorm - 2-norm of gradient

   Note:
   SNESGetGradientNorm() is valid for SNES_UNCONSTRAINED_MINIMIZATION
   methods only.  A related routine for SNES_NONLINEAR_EQUATIONS methods
   is SNESGetFunctionNorm().

.keywords: SNES, nonlinear, get, gradient, norm

.seelso: SNESSetGradient()
@*/
int SNESGetGradientNorm(SNES snes,Scalar *gnorm)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  PetscValidScalarPointer(gnorm);
  if (snes->method_class != SNES_UNCONSTRAINED_MINIMIZATION) {
    SETERRQ(PETSC_ERR_ARG_WRONGSTATE,0,"For SNES_UNCONSTRAINED_MINIMIZATION only");
  }
  *gnorm = snes->norm;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESGetNumberUnsuccessfulSteps"
/*@
   SNESGetNumberUnsuccessfulSteps - Gets the number of unsuccessful steps
   attempted by the nonlinear solver.

   Input Parameter:
.  snes - SNES context

   Output Parameter:
.  nfails - number of unsuccessful steps attempted

   Notes:
   This counter is reset to zero for each successive call to SNESSolve().

.keywords: SNES, nonlinear, get, number, unsuccessful, steps
@*/
int SNESGetNumberUnsuccessfulSteps(SNES snes,int* nfails)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  PetscValidIntPointer(nfails);
  *nfails = snes->nfailures;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESGetNumberLinearIterations"
/*@
   SNESGetNumberLinearIterations - Gets the total number of linear iterations
   used by the nonlinear solver.

   Input Parameter:
.  snes - SNES context

   Output Parameter:
.  lits - number of linear iterations

   Notes:
   This counter is reset to zero for each successive call to SNESSolve().

.keywords: SNES, nonlinear, get, number, linear, iterations
@*/
int SNESGetNumberLinearIterations(SNES snes,int* lits)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  PetscValidIntPointer(lits);
  *lits = snes->linear_its;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESGetSLES"
/*@C
   SNESGetSLES - Returns the SLES context for a SNES solver.

   Input Parameter:
.  snes - the SNES context

   Output Parameter:
.  sles - the SLES context

   Notes:
   The user can then directly manipulate the SLES context to set various
   options, etc.  Likewise, the user can then extract and manipulate the
   KSP and PC contexts as well.

.keywords: SNES, nonlinear, get, SLES, context

.seealso: SLESGetPC(), SLESGetKSP()
@*/
int SNESGetSLES(SNES snes,SLES *sles)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  *sles = snes->sles;
  PetscFunctionReturn(0);
}
/* -----------------------------------------------------------*/
#undef __FUNC__
#define __FUNC__ "SNESCreate"
/*@C
   SNESCreate - Creates a nonlinear solver context.

   Input Parameter:
.  comm - MPI communicator
.  type - type of method, one of
$    SNES_NONLINEAR_EQUATIONS
$      (for systems of nonlinear equations)
$    SNES_UNCONSTRAINED_MINIMIZATION
$      (for unconstrained minimization)

   Output Parameter:
.  outsnes - the new SNES context

   Options Database Key:
$   -snes_mf - use default matrix-free Jacobian-vector products,
$              and no preconditioning matrix
$   -snes_mf_operator - use default matrix-free Jacobian-vector
$             products, and a user-provided preconditioning matrix
$             as set by SNESSetJacobian()
$   -snes_fd - use (slow!) finite differences to compute Jacobian

.keywords: SNES, nonlinear, create, context

.seealso: SNESSolve(), SNESDestroy()
@*/
int SNESCreate(MPI_Comm comm,SNESProblemType type,SNES *outsnes)
{
  int                 ierr;
  SNES                snes;
  SNES_KSP_EW_ConvCtx *kctx;

  PetscFunctionBegin;
  *outsnes = 0;
  if (type != SNES_UNCONSTRAINED_MINIMIZATION && type != SNES_NONLINEAR_EQUATIONS){
    SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,0,"incorrect method type");
  }
  PetscHeaderCreate(snes,_p_SNES,SNES_COOKIE,SNES_UNKNOWN_METHOD,comm,SNESDestroy,SNESView);
  PLogObjectCreate(snes);
  snes->max_its           = 50;
  snes->max_funcs	  = 10000;
  snes->norm		  = 0.0;
  if (type == SNES_UNCONSTRAINED_MINIMIZATION) {
    snes->rtol		  = 1.e-8;
    snes->ttol            = 0.0;
    snes->atol		  = 1.e-10;
  } else {
    snes->rtol		  = 1.e-8;
    snes->ttol            = 0.0;
    snes->atol		  = 1.e-50;
  }
  snes->xtol		  = 1.e-8;
  snes->trunctol	  = 1.e-12; /* no longer used */
  snes->nfuncs            = 0;
  snes->nfailures         = 0;
  snes->linear_its        = 0;
  snes->numbermonitors    = 0;
  snes->data              = 0;
  snes->view              = 0;
  snes->computeumfunction = 0;
  snes->umfunP            = 0;
  snes->fc                = 0;
  snes->deltatol          = 1.e-12;
  snes->fmin              = -1.e30;
  snes->method_class      = type;
  snes->set_method_called = 0;
  snes->setup_called      = 0;
  snes->ksp_ewconv        = 0;
  snes->type              = -1;
  snes->xmonitor          = 0;
  snes->vwork             = 0;
  snes->nwork             = 0;
  snes->conv_hist_size    = 0;
  snes->conv_act_size     = 0;
  snes->conv_hist         = 0;

  /* Create context to compute Eisenstat-Walker relative tolerance for KSP */
  kctx = PetscNew(SNES_KSP_EW_ConvCtx); CHKPTRQ(kctx);
  PLogObjectMemory(snes,sizeof(SNES_KSP_EW_ConvCtx));
  snes->kspconvctx  = (void*)kctx;
  kctx->version     = 2;
  kctx->rtol_0      = .3; /* Eisenstat and Walker suggest rtol_0=.5, but
                             this was too large for some test cases */
  kctx->rtol_last   = 0;
  kctx->rtol_max    = .9;
  kctx->gamma       = 1.0;
  kctx->alpha2      = .5*(1.0 + sqrt(5.0));
  kctx->alpha       = kctx->alpha2;
  kctx->threshold   = .1;
  kctx->lresid_last = 0;
  kctx->norm_last   = 0;

  ierr = SLESCreate(comm,&snes->sles); CHKERRQ(ierr);
  PLogObjectParent(snes,snes->sles)

  *outsnes = snes;
  PetscFunctionReturn(0);
}

/* --------------------------------------------------------------- */
#undef __FUNC__
#define __FUNC__ "SNESSetFunction"
/*@C
   SNESSetFunction - Sets the function evaluation routine and function
   vector for use by the SNES routines in solving systems of nonlinear
   equations.

   Input Parameters:
.  snes - the SNES context
.  func - function evaluation routine
.  r - vector to store function value
.  ctx - [optional] user-defined context for private data for the
         function evaluation routine (may be PETSC_NULL)

   Calling sequence of func:
.  func (SNES snes,Vec x,Vec f,void *ctx);

.  x - input vector
.  f - function vector
.  ctx - optional user-defined function context

   Notes:
   The Newton-like methods typically solve linear systems of the form
$      f'(x) x = -f(x),
$  where f'(x) denotes the Jacobian matrix and f(x) is the function.

   SNESSetFunction() is valid for SNES_NONLINEAR_EQUATIONS methods only.
   Analogous routines for SNES_UNCONSTRAINED_MINIMIZATION methods are
   SNESSetMinimizationFunction() and SNESSetGradient();

.keywords: SNES, nonlinear, set, function

.seealso: SNESGetFunction(), SNESComputeFunction(), SNESSetJacobian()
@*/
int SNESSetFunction( SNES snes, Vec r, int (*func)(SNES,Vec,Vec,void*),void *ctx)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  if (snes->method_class != SNES_NONLINEAR_EQUATIONS) {
    SETERRQ(PETSC_ERR_ARG_WRONG,0,"For SNES_NONLINEAR_EQUATIONS only");
  }
  snes->computefunction     = func;
  snes->vec_func            = snes->vec_func_always = r;
  snes->funP                = ctx;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESComputeFunction"
/*@
   SNESComputeFunction - Computes the function that has been set with
   SNESSetFunction().

   Input Parameters:
.  snes - the SNES context
.  x - input vector

   Output Parameter:
.  y - function vector, as set by SNESSetFunction()

   Notes:
   SNESComputeFunction() is valid for SNES_NONLINEAR_EQUATIONS methods only.
   Analogous routines for SNES_UNCONSTRAINED_MINIMIZATION methods are
   SNESComputeMinimizationFunction() and SNESComputeGradient();

.keywords: SNES, nonlinear, compute, function

.seealso: SNESSetFunction(), SNESGetFunction()
@*/
int SNESComputeFunction(SNES snes,Vec x, Vec y)
{
  int    ierr;

  PetscFunctionBegin;
  if (snes->method_class != SNES_NONLINEAR_EQUATIONS) {
    SETERRQ(PETSC_ERR_ARG_WRONG,0,"For SNES_NONLINEAR_EQUATIONS only");
  }
  PLogEventBegin(SNES_FunctionEval,snes,x,y,0);
  PetscStackPush("SNES user function");
  ierr = (*snes->computefunction)(snes,x,y,snes->funP); CHKERRQ(ierr);
  PetscStackPop;
  snes->nfuncs++;
  PLogEventEnd(SNES_FunctionEval,snes,x,y,0);
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESSetMinimizationFunction"
/*@C
   SNESSetMinimizationFunction - Sets the function evaluation routine for
   unconstrained minimization.

   Input Parameters:
.  snes - the SNES context
.  func - function evaluation routine
.  ctx - [optional] user-defined context for private data for the
         function evaluation routine (may be PETSC_NULL)

   Calling sequence of func:
.  func (SNES snes,Vec x,double *f,void *ctx);

.  x - input vector
.  f - function
.  ctx - [optional] user-defined function context

   Notes:
   SNESSetMinimizationFunction() is valid for SNES_UNCONSTRAINED_MINIMIZATION
   methods only. An analogous routine for SNES_NONLINEAR_EQUATIONS methods is
   SNESSetFunction().

.keywords: SNES, nonlinear, set, minimization, function

.seealso:  SNESGetMinimizationFunction(), SNESComputeMinimizationFunction(),
           SNESSetHessian(), SNESSetGradient()
@*/
int SNESSetMinimizationFunction(SNES snes,int (*func)(SNES,Vec,double*,void*),
                      void *ctx)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  if (snes->method_class != SNES_UNCONSTRAINED_MINIMIZATION) {
    SETERRQ(PETSC_ERR_ARG_WRONG,0,"Only for SNES_UNCONSTRAINED_MINIMIZATION");
  }
  snes->computeumfunction   = func;
  snes->umfunP              = ctx;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESComputeMinimizationFunction"
/*@
   SNESComputeMinimizationFunction - Computes the function that has been
   set with SNESSetMinimizationFunction().

   Input Parameters:
.  snes - the SNES context
.  x - input vector

   Output Parameter:
.  y - function value

   Notes:
   SNESComputeMinimizationFunction() is valid only for
   SNES_UNCONSTRAINED_MINIMIZATION methods. An analogous routine for
   SNES_NONLINEAR_EQUATIONS methods is SNESComputeFunction().

.keywords: SNES, nonlinear, compute, minimization, function

.seealso: SNESSetMinimizationFunction(), SNESGetMinimizationFunction(),
          SNESComputeGradient(), SNESComputeHessian()
@*/
int SNESComputeMinimizationFunction(SNES snes,Vec x,double *y)
{
  int    ierr;

  PetscFunctionBegin;
  if (snes->method_class != SNES_UNCONSTRAINED_MINIMIZATION) {
    SETERRQ(PETSC_ERR_ARG_WRONG,0,"Only for SNES_UNCONSTRAINED_MINIMIZATION");
  }
  PLogEventBegin(SNES_MinimizationFunctionEval,snes,x,y,0);
  PetscStackPush("SNES user minimzation function");
  ierr = (*snes->computeumfunction)(snes,x,y,snes->umfunP); CHKERRQ(ierr);
  PetscStackPop;
  snes->nfuncs++;
  PLogEventEnd(SNES_MinimizationFunctionEval,snes,x,y,0);
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESSetGradient"
/*@C
   SNESSetGradient - Sets the gradient evaluation routine and gradient
   vector for use by the SNES routines.

   Input Parameters:
.  snes - the SNES context
.  func - function evaluation routine
.  ctx - optional user-defined context for private data for the
         gradient evaluation routine (may be PETSC_NULL)
.  r - vector to store gradient value

   Calling sequence of func:
.  func (SNES, Vec x, Vec g, void *ctx);

.  x - input vector
.  g - gradient vector
.  ctx - optional user-defined gradient context

   Notes:
   SNESSetMinimizationFunction() is valid for SNES_UNCONSTRAINED_MINIMIZATION
   methods only. An analogous routine for SNES_NONLINEAR_EQUATIONS methods is
   SNESSetFunction().

.keywords: SNES, nonlinear, set, function

.seealso: SNESGetGradient(), SNESComputeGradient(), SNESSetHessian(),
          SNESSetMinimizationFunction(),
@*/
int SNESSetGradient(SNES snes,Vec r,int (*func)(SNES,Vec,Vec,void*),void *ctx)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  if (snes->method_class != SNES_UNCONSTRAINED_MINIMIZATION) {
    SETERRQ(PETSC_ERR_ARG_WRONG,0,"For SNES_UNCONSTRAINED_MINIMIZATION only");
  }
  snes->computefunction     = func;
  snes->vec_func            = snes->vec_func_always = r;
  snes->funP                = ctx;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESComputeGradient"
/*@
   SNESComputeGradient - Computes the gradient that has been set with
   SNESSetGradient().

   Input Parameters:
.  snes - the SNES context
.  x - input vector

   Output Parameter:
.  y - gradient vector

   Notes:
   SNESComputeGradient() is valid only for
   SNES_UNCONSTRAINED_MINIMIZATION methods. An analogous routine for
   SNES_NONLINEAR_EQUATIONS methods is SNESComputeFunction().

.keywords: SNES, nonlinear, compute, gradient

.seealso:  SNESSetGradient(), SNESGetGradient(),
           SNESComputeMinimizationFunction(), SNESComputeHessian()
@*/
int SNESComputeGradient(SNES snes,Vec x, Vec y)
{
  int    ierr;

  PetscFunctionBegin;
  if (snes->method_class != SNES_UNCONSTRAINED_MINIMIZATION) {
    SETERRQ(PETSC_ERR_ARG_WRONG,0,"For SNES_UNCONSTRAINED_MINIMIZATION only");
  }
  PLogEventBegin(SNES_GradientEval,snes,x,y,0);
  PetscStackPush("SNES user gradient function");
  ierr = (*snes->computefunction)(snes,x,y,snes->funP); CHKERRQ(ierr);
  PetscStackPop;
  PLogEventEnd(SNES_GradientEval,snes,x,y,0);
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESComputeJacobian"
/*@
   SNESComputeJacobian - Computes the Jacobian matrix that has been
   set with SNESSetJacobian().

   Input Parameters:
.  snes - the SNES context
.  x - input vector

   Output Parameters:
.  A - Jacobian matrix
.  B - optional preconditioning matrix
.  flag - flag indicating matrix structure

   Notes:
   Most users should not need to explicitly call this routine, as it
   is used internally within the nonlinear solvers.

   See SLESSetOperators() for important information about setting the
   flag parameter.

   SNESComputeJacobian() is valid only for SNES_NONLINEAR_EQUATIONS
   methods. An analogous routine for SNES_UNCONSTRAINED_MINIMIZATION
   methods is SNESComputeHessian().

.keywords: SNES, compute, Jacobian, matrix

.seealso:  SNESSetJacobian(), SLESSetOperators()
@*/
int SNESComputeJacobian(SNES snes,Vec X,Mat *A,Mat *B,MatStructure *flg)
{
  int    ierr;

  PetscFunctionBegin;
  if (snes->method_class != SNES_NONLINEAR_EQUATIONS) {
    SETERRQ(PETSC_ERR_ARG_WRONG,0,"For SNES_NONLINEAR_EQUATIONS only");
  }
  if (!snes->computejacobian) PetscFunctionReturn(0);
  PLogEventBegin(SNES_JacobianEval,snes,X,*A,*B);
  *flg = DIFFERENT_NONZERO_PATTERN;
  PetscStackPush("SNES user Jacobian function");
  ierr = (*snes->computejacobian)(snes,X,A,B,flg,snes->jacP); CHKERRQ(ierr);
  PetscStackPop;
  PLogEventEnd(SNES_JacobianEval,snes,X,*A,*B);
  /* make sure user returned a correct Jacobian and preconditioner */
  PetscValidHeaderSpecific(*A,MAT_COOKIE);
  PetscValidHeaderSpecific(*B,MAT_COOKIE);
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESComputeHessian"
/*@
   SNESComputeHessian - Computes the Hessian matrix that has been
   set with SNESSetHessian().

   Input Parameters:
.  snes - the SNES context
.  x - input vector

   Output Parameters:
.  A - Hessian matrix
.  B - optional preconditioning matrix
.  flag - flag indicating matrix structure

   Notes:
   Most users should not need to explicitly call this routine, as it
   is used internally within the nonlinear solvers.

   See SLESSetOperators() for important information about setting the
   flag parameter.

   SNESComputeHessian() is valid only for
   SNES_UNCONSTRAINED_MINIMIZATION methods. An analogous routine for
   SNES_NONLINEAR_EQUATIONS methods is SNESComputeJacobian().

.keywords: SNES, compute, Hessian, matrix

.seealso:  SNESSetHessian(), SLESSetOperators(), SNESComputeGradient(),
           SNESComputeMinimizationFunction()
@*/
int SNESComputeHessian(SNES snes,Vec x,Mat *A,Mat *B,MatStructure *flag)
{
  int    ierr;

  PetscFunctionBegin;
  if (snes->method_class != SNES_UNCONSTRAINED_MINIMIZATION) {
    SETERRQ(PETSC_ERR_ARG_WRONG,0,"For SNES_UNCONSTRAINED_MINIMIZATION only");
  }
  if (!snes->computejacobian) PetscFunctionReturn(0);
  PLogEventBegin(SNES_HessianEval,snes,x,*A,*B);
  *flag = DIFFERENT_NONZERO_PATTERN;
  PetscStackPush("SNES user Hessian function");
  ierr = (*snes->computejacobian)(snes,x,A,B,flag,snes->jacP); CHKERRQ(ierr);
  PetscStackPop;
  PLogEventEnd(SNES_HessianEval,snes,x,*A,*B);
  /* make sure user returned a correct Jacobian and preconditioner */
  PetscValidHeaderSpecific(*A,MAT_COOKIE);
  PetscValidHeaderSpecific(*B,MAT_COOKIE);
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESSetJacobian"
/*@C
   SNESSetJacobian - Sets the function to compute Jacobian as well as the
   location to store the matrix.

   Input Parameters:
.  snes - the SNES context
.  A - Jacobian matrix
.  B - preconditioner matrix (usually same as the Jacobian)
.  func - Jacobian evaluation routine
.  ctx - [optional] user-defined context for private data for the
         Jacobian evaluation routine (may be PETSC_NULL)

   Calling sequence of func:
.  func (SNES snes,Vec x,Mat *A,Mat *B,int *flag,void *ctx);

.  x - input vector
.  A - Jacobian matrix
.  B - preconditioner matrix, usually the same as A
.  flag - flag indicating information about the preconditioner matrix
   structure (same as flag in SLESSetOperators())
.  ctx - [optional] user-defined Jacobian context

   Notes:
   See SLESSetOperators() for important information about setting the flag
   output parameter in the routine func().  Be sure to read this information!

   The routine func() takes Mat * as the matrix arguments rather than Mat.
   This allows the Jacobian evaluation routine to replace A and/or B with a
   completely new new matrix structure (not just different matrix elements)
   when appropriate, for instance, if the nonzero structure is changing
   throughout the global iterations.

.keywords: SNES, nonlinear, set, Jacobian, matrix

.seealso: SLESSetOperators(), SNESSetFunction()
@*/
int SNESSetJacobian(SNES snes,Mat A,Mat B,int (*func)(SNES,Vec,Mat*,Mat*,
                    MatStructure*,void*),void *ctx)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  if (snes->method_class != SNES_NONLINEAR_EQUATIONS) {
    SETERRQ(PETSC_ERR_ARG_WRONG,0,"For SNES_NONLINEAR_EQUATIONS only");
  }
  snes->computejacobian = func;
  snes->jacP            = ctx;
  snes->jacobian        = A;
  snes->jacobian_pre    = B;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESGetJacobian"
/*@
   SNESGetJacobian - Returns the Jacobian matrix and optionally the user
   provided context for evaluating the Jacobian.

   Input Parameter:
.  snes - the nonlinear solver context

   Output Parameters:
.  A - location to stash Jacobian matrix (or PETSC_NULL)
.  B - location to stash preconditioner matrix (or PETSC_NULL)
.  ctx - location to stash Jacobian ctx (or PETSC_NULL)

.seealso: SNESSetJacobian(), SNESComputeJacobian()
@*/
int SNESGetJacobian(SNES snes,Mat *A,Mat *B, void **ctx)
{
  PetscFunctionBegin;
  if (snes->method_class != SNES_NONLINEAR_EQUATIONS) {
    SETERRQ(PETSC_ERR_ARG_WRONG,0,"For SNES_NONLINEAR_EQUATIONS only");
  }
  if (A)   *A = snes->jacobian;
  if (B)   *B = snes->jacobian_pre;
  if (ctx) *ctx = snes->jacP;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESSetHessian"
/*@C
   SNESSetHessian - Sets the function to compute Hessian as well as the
   location to store the matrix.

   Input Parameters:
.  snes - the SNES context
.  A - Hessian matrix
.  B - preconditioner matrix (usually same as the Hessian)
.  func - Jacobian evaluation routine
.  ctx - [optional] user-defined context for private data for the
         Hessian evaluation routine (may be PETSC_NULL)

   Calling sequence of func:
.  func (SNES snes,Vec x,Mat *A,Mat *B,int *flag,void *ctx);

.  x - input vector
.  A - Hessian matrix
.  B - preconditioner matrix, usually the same as A
.  flag - flag indicating information about the preconditioner matrix
   structure (same as flag in SLESSetOperators())
.  ctx - [optional] user-defined Hessian context

   Notes:
   See SLESSetOperators() for important information about setting the flag
   output parameter in the routine func().  Be sure to read this information!

   The function func() takes Mat * as the matrix arguments rather than Mat.
   This allows the Hessian evaluation routine to replace A and/or B with a
   completely new new matrix structure (not just different matrix elements)
   when appropriate, for instance, if the nonzero structure is changing
   throughout the global iterations.

.keywords: SNES, nonlinear, set, Hessian, matrix

.seealso: SNESSetMinimizationFunction(), SNESSetGradient(), SLESSetOperators()
@*/
int SNESSetHessian(SNES snes,Mat A,Mat B,int (*func)(SNES,Vec,Mat*,Mat*,
                    MatStructure*,void*),void *ctx)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  if (snes->method_class != SNES_UNCONSTRAINED_MINIMIZATION) {
    SETERRQ(PETSC_ERR_ARG_WRONG,0,"For SNES_UNCONSTRAINED_MINIMIZATION only");
  }
  snes->computejacobian = func;
  snes->jacP            = ctx;
  snes->jacobian        = A;
  snes->jacobian_pre    = B;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESGetHessian"
/*@
   SNESGetHessian - Returns the Hessian matrix and optionally the user
   provided context for evaluating the Hessian.

   Input Parameter:
.  snes - the nonlinear solver context

   Output Parameters:
.  A - location to stash Hessian matrix (or PETSC_NULL)
.  B - location to stash preconditioner matrix (or PETSC_NULL)
.  ctx - location to stash Hessian ctx (or PETSC_NULL)

.seealso: SNESSetHessian(), SNESComputeHessian()
@*/
int SNESGetHessian(SNES snes,Mat *A,Mat *B, void **ctx)
{
  PetscFunctionBegin;
  if (snes->method_class != SNES_UNCONSTRAINED_MINIMIZATION){
    SETERRQ(PETSC_ERR_ARG_WRONG,0,"For SNES_UNCONSTRAINED_MINIMIZATION only");
  }
  if (A)   *A = snes->jacobian;
  if (B)   *B = snes->jacobian_pre;
  if (ctx) *ctx = snes->jacP;
  PetscFunctionReturn(0);
}

/* ----- Routines to initialize and destroy a nonlinear solver ---- */

#undef __FUNC__
#define __FUNC__ "SNESSetUp"
/*@
   SNESSetUp - Sets up the internal data structures for the later use
   of a nonlinear solver.

   Input Parameter:
.  snes - the SNES context
.  x - the solution vector

   Notes:
   For basic use of the SNES solvers the user need not explicitly call
   SNESSetUp(), since these actions will automatically occur during
   the call to SNESSolve().  However, if one wishes to control this
   phase separately, SNESSetUp() should be called after SNESCreate()
   and optional routines of the form SNESSetXXX(), but before SNESSolve().

.keywords: SNES, nonlinear, setup

.seealso: SNESCreate(), SNESSolve(), SNESDestroy()
@*/
int SNESSetUp(SNES snes,Vec x)
{
  int ierr, flg;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  PetscValidHeaderSpecific(x,VEC_COOKIE);
  snes->vec_sol = snes->vec_sol_always = x;

  ierr = OptionsHasName(snes->prefix,"-snes_mf_operator", &flg);  CHKERRQ(ierr);
  /*
      This version replaces the user provided Jacobian matrix with a
      matrix-free version but still employs the user-provided preconditioner matrix
  */
  if (flg) {
    Mat J;
    ierr = SNESDefaultMatrixFreeMatCreate(snes,snes->vec_sol,&J);CHKERRQ(ierr);
    PLogObjectParent(snes,J);
    snes->mfshell = J;
    if (snes->method_class == SNES_NONLINEAR_EQUATIONS) {
      snes->jacobian = J;
      PLogInfo(snes,"SNESSetUp: Setting default matrix-free operator Jacobian routines\n");
    } else if (snes->method_class == SNES_UNCONSTRAINED_MINIMIZATION) {
      snes->jacobian = J;
      PLogInfo(snes,"SNESSetUp: Setting default matrix-free operator Hessian routines\n");
    } else {
      SETERRQ(PETSC_ERR_SUP,0,"Method class doesn't support matrix-free operator option");
    }
  }
  ierr = OptionsHasName(snes->prefix,"-snes_mf", &flg);  CHKERRQ(ierr);
  /*
      This version replaces both the user-provided Jacobian and the user-
      provided preconditioner matrix with the default matrix free version.
   */
  if (flg) {
    Mat J;
    ierr = SNESDefaultMatrixFreeMatCreate(snes,snes->vec_sol,&J);CHKERRQ(ierr);
    PLogObjectParent(snes,J);
    snes->mfshell = J;
    if (snes->method_class == SNES_NONLINEAR_EQUATIONS) {
      ierr = SNESSetJacobian(snes,J,J,0,snes->funP); CHKERRQ(ierr);
      PLogInfo(snes,"SNESSetUp: Setting default matrix-free Jacobian routines\n");
    } else if (snes->method_class == SNES_UNCONSTRAINED_MINIMIZATION) {
      ierr = SNESSetHessian(snes,J,J,0,snes->funP); CHKERRQ(ierr);
      PLogInfo(snes,"SNESSetUp: Setting default matrix-free Hessian routines\n");
    } else {
      SETERRQ(PETSC_ERR_SUP,0,"Method class doesn't support matrix-free option");
    }
  }
  if ((snes->method_class == SNES_NONLINEAR_EQUATIONS)) {
    if (!snes->vec_func) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,0,"Must call SNESSetFunction() first");
    if (!snes->computefunction) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,0,"Must call SNESSetFunction() first");
    if (!snes->jacobian) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,0,"Must call SNESSetJacobian() first");
    if (snes->vec_func == snes->vec_sol) {
      SETERRQ(PETSC_ERR_ARG_IDN,0,"Solution vector cannot be function vector");
    }

    /* Set the KSP stopping criterion to use the Eisenstat-Walker method */
    if (snes->ksp_ewconv && snes->type != SNES_EQ_TR) {
      SLES sles; KSP ksp;
      ierr = SNESGetSLES(snes,&sles); CHKERRQ(ierr);
      ierr = SLESGetKSP(sles,&ksp); CHKERRQ(ierr);
      ierr = KSPSetConvergenceTest(ksp,SNES_KSP_EW_Converged_Private,
             (void *)snes); CHKERRQ(ierr);
    }
  } else if ((snes->method_class == SNES_UNCONSTRAINED_MINIMIZATION)) {
    if (!snes->vec_func) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,0,"Must call SNESSetGradient() first");
    if (!snes->computefunction) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,0,"Must call SNESSetGradient() first");
    if (!snes->computeumfunction) {
      SETERRQ(PETSC_ERR_ARG_WRONGSTATE,0,"Must call SNESSetMinimizationFunction() first");
    }
    if (!snes->jacobian) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,0,"Must call SNESSetHessian() first");
  } else {
    SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,0,"Unknown method class");
  }
  if (snes->setup) {ierr = (*snes->setup)(snes); CHKERRQ(ierr);}
  snes->setup_called = 1;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESDestroy"
/*@C
   SNESDestroy - Destroys the nonlinear solver context that was created
   with SNESCreate().

   Input Parameter:
.  snes - the SNES context

.keywords: SNES, nonlinear, destroy

.seealso: SNESCreate(), SNESSolve()
@*/
int SNESDestroy(SNES snes)
{
  int ierr;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  if (--snes->refct > 0) PetscFunctionReturn(0);

  if (snes->destroy) {ierr = (*(snes)->destroy)((PetscObject)snes); CHKERRQ(ierr);}
  if (snes->kspconvctx) PetscFree(snes->kspconvctx);
  if (snes->mfshell) {ierr = MatDestroy(snes->mfshell);CHKERRQ(ierr);}
  ierr = SLESDestroy(snes->sles); CHKERRQ(ierr);
  if (snes->xmonitor) {ierr = SNESLGMonitorDestroy(snes->xmonitor);CHKERRQ(ierr);}
  if (snes->vwork) {ierr = VecDestroyVecs(snes->vwork,snes->nvwork);CHKERRQ(ierr);}
  PLogObjectDestroy((PetscObject)snes);
  PetscHeaderDestroy((PetscObject)snes);
  PetscFunctionReturn(0);
}

/* ----------- Routines to set solver parameters ---------- */

#undef __FUNC__
#define __FUNC__ "SNESSetTolerances"
/*@
   SNESSetTolerances - Sets various parameters used in convergence tests.

   Input Parameters:
.  snes - the SNES context
.  atol - absolute convergence tolerance
.  rtol - relative convergence tolerance
.  stol -  convergence tolerance in terms of the norm
           of the change in the solution between steps
.  maxit - maximum number of iterations
.  maxf - maximum number of function evaluations

   Options Database Keys:
$    -snes_atol <atol>
$    -snes_rtol <rtol>
$    -snes_stol <stol>
$    -snes_max_it <maxit>
$    -snes_max_funcs <maxf>

   Notes:
   The default maximum number of iterations is 50.
   The default maximum number of function evaluations is 1000.

.keywords: SNES, nonlinear, set, convergence, tolerances

.seealso: SNESSetTrustRegionTolerance(), SNESSetMinimizationFunctionTolerance()
@*/
int SNESSetTolerances(SNES snes,double atol,double rtol,double stol,int maxit,int maxf)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  if (atol != PETSC_DEFAULT)  snes->atol      = atol;
  if (rtol != PETSC_DEFAULT)  snes->rtol      = rtol;
  if (stol != PETSC_DEFAULT)  snes->xtol      = stol;
  if (maxit != PETSC_DEFAULT) snes->max_its   = maxit;
  if (maxf != PETSC_DEFAULT)  snes->max_funcs = maxf;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESGetTolerances"
/*@
   SNESGetTolerances - Gets various parameters used in convergence tests.

   Input Parameters:
.  snes - the SNES context
.  atol - absolute convergence tolerance
.  rtol - relative convergence tolerance
.  stol -  convergence tolerance in terms of the norm
           of the change in the solution between steps
.  maxit - maximum number of iterations
.  maxf - maximum number of function evaluations

   Notes:
   The user can specify PETSC_NULL for any parameter that is not needed.

.keywords: SNES, nonlinear, get, convergence, tolerances

.seealso: SNESSetTolerances()
@*/
int SNESGetTolerances(SNES snes,double *atol,double *rtol,double *stol,int *maxit,int *maxf)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  if (atol)  *atol  = snes->atol;
  if (rtol)  *rtol  = snes->rtol;
  if (stol)  *stol  = snes->xtol;
  if (maxit) *maxit = snes->max_its;
  if (maxf)  *maxf  = snes->max_funcs;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESSetTrustRegionTolerance"
/*@
   SNESSetTrustRegionTolerance - Sets the trust region parameter tolerance.

   Input Parameters:
.  snes - the SNES context
.  tol - tolerance

   Options Database Key:
$    -snes_trtol <tol>

.keywords: SNES, nonlinear, set, trust region, tolerance

.seealso: SNESSetTolerances(), SNESSetMinimizationFunctionTolerance()
@*/
int SNESSetTrustRegionTolerance(SNES snes,double tol)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  snes->deltatol = tol;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESSetMinimizationFunctionTolerance"
/*@
   SNESSetMinimizationFunctionTolerance - Sets the minimum allowable function tolerance
   for unconstrained minimization solvers.

   Input Parameters:
.  snes - the SNES context
.  ftol - minimum function tolerance

   Options Database Key:
$    -snes_fmin <ftol>

   Note:
   SNESSetMinimizationFunctionTolerance() is valid for SNES_UNCONSTRAINED_MINIMIZATION
   methods only.

.keywords: SNES, nonlinear, set, minimum, convergence, function, tolerance

.seealso: SNESSetTolerances(), SNESSetTrustRegionTolerance()
@*/
int SNESSetMinimizationFunctionTolerance(SNES snes,double ftol)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  snes->fmin = ftol;
  PetscFunctionReturn(0);
}

/* ------------ Routines to set performance monitoring options ----------- */

#undef __FUNC__
#define __FUNC__ "SNESSetMonitor"
/*@C
   SNESSetMonitor - Sets the function that is to be used at every
   iteration of the nonlinear solver to display the iteration's
   progress.

   Input Parameters:
.  snes - the SNES context
.  func - monitoring routine
.  mctx - [optional] user-defined context for private data for the
          monitor routine (may be PETSC_NULL)

   Calling sequence of func:
   int func(SNES snes,int its, Vec x,Vec f,double norm,void *mctx)

$    snes - the SNES context
$    its - iteration number
$    mctx - [optional] monitoring context
$
$ SNES_NONLINEAR_EQUATIONS methods:
$    norm - 2-norm function value (may be estimated)
$
$ SNES_UNCONSTRAINED_MINIMIZATION methods:
$    norm - 2-norm gradient value (may be estimated)

   Options Database Keys:
$    -snes_monitor        : sets SNESDefaultMonitor()
$    -snes_xmonitor       : sets line graph monitor,
$                           uses SNESLGMonitorCreate()
$    -snes_cancelmonitors : cancels all monitors that have
$                           been hardwired into a code by
$                           calls to SNESSetMonitor(), but
$                           does not cancel those set via
$                           the options database.


   Notes:
   Several different monitoring routines may be set by calling
   SNESSetMonitor() multiple times; all will be called in the
   order in which they were set.

.keywords: SNES, nonlinear, set, monitor

.seealso: SNESDefaultMonitor()
@*/
int SNESSetMonitor( SNES snes, int (*func)(SNES,int,double,void*),void *mctx )
{
  PetscFunctionBegin;
  if (!func) {
    snes->numbermonitors = 0;
    PetscFunctionReturn(0);
  }
  if (snes->numbermonitors >= MAXSNESMONITORS) {
    SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,0,"Too many monitors set");
  }

  snes->monitor[snes->numbermonitors]           = func;
  snes->monitorcontext[snes->numbermonitors++]  = (void*)mctx;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESSetConvergenceTest"
/*@C
   SNESSetConvergenceTest - Sets the function that is to be used
   to test for convergence of the nonlinear iterative solution.

   Input Parameters:
.  snes - the SNES context
.  func - routine to test for convergence
.  cctx - [optional] context for private data for the convergence routine
          (may be PETSC_NULL)

   Calling sequence of func:
   int func (SNES snes,double xnorm,double gnorm,
             double f,void *cctx)

$    snes - the SNES context
$    cctx - [optional] convergence context
$    xnorm - 2-norm of current iterate
$
$ SNES_NONLINEAR_EQUATIONS methods:
$    gnorm - 2-norm of current step
$    f - 2-norm of function
$
$ SNES_UNCONSTRAINED_MINIMIZATION methods:
$    gnorm - 2-norm of current gradient
$    f - function value

.keywords: SNES, nonlinear, set, convergence, test

.seealso: SNESConverged_EQ_LS(), SNESConverged_EQ_TR(),
          SNESConverged_UM_LS(), SNESConverged_UM_TR()
@*/
int SNESSetConvergenceTest(SNES snes,int (*func)(SNES,double,double,double,void*),void *cctx)
{
  PetscFunctionBegin;
  (snes)->converged = func;
  (snes)->cnvP      = cctx;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESSetConvergenceHistory"
/*@
   SNESSetConvergenceHistory - Sets the array used to hold the convergence history.

   Input Parameters:
.  snes - iterative context obtained from SNESCreate()
.  a   - array to hold history
.  na  - size of a

   Notes:
   If set, this array will contain the function norms (for
   SNES_NONLINEAR_EQUATIONS methods) or gradient norms
   (for SNES_UNCONSTRAINED_MINIMIZATION methods) computed
   at each step.

   This routine is useful, e.g., when running a code for purposes
   of accurate performance monitoring, when no I/O should be done
   during the section of code that is being timed.

.keywords: SNES, set, convergence, history
@*/
int SNESSetConvergenceHistory(SNES snes, double *a, int na)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  if (na) PetscValidScalarPointer(a);
  snes->conv_hist      = a;
  snes->conv_hist_size = na;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESScaleStep_Private"
/*
   SNESScaleStep_Private - Scales a step so that its length is less than the
   positive parameter delta.

    Input Parameters:
.   snes - the SNES context
.   y - approximate solution of linear system
.   fnorm - 2-norm of current function
.   delta - trust region size

    Output Parameters:
.   gpnorm - predicted function norm at the new point, assuming local
    linearization.  The value is zero if the step lies within the trust
    region, and exceeds zero otherwise.
.   ynorm - 2-norm of the step

    Note:
    For non-trust region methods such as SNES_EQ_LS, the parameter delta
    is set to be the maximum allowable step size.

.keywords: SNES, nonlinear, scale, step
*/
int SNESScaleStep_Private(SNES snes,Vec y,double *fnorm,double *delta,
                          double *gpnorm,double *ynorm)
{
  double norm;
  Scalar cnorm;
  int    ierr;

  PetscFunctionBegin;
  ierr = VecNorm(y,NORM_2, &norm );CHKERRQ(ierr);
  if (norm > *delta) {
     norm = *delta/norm;
     *gpnorm = (1.0 - norm)*(*fnorm);
     cnorm = norm;
     VecScale( &cnorm, y );
     *ynorm = *delta;
  } else {
     *gpnorm = 0.0;
     *ynorm = norm;
  }
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESSolve"
/*@
   SNESSolve - Solves a nonlinear system.  Call SNESSolve after calling
   SNESCreate() and optional routines of the form SNESSetXXX().

   Input Parameter:
.  snes - the SNES context
.  x - the solution vector

   Output Parameter:
   its - number of iterations until termination

   Note:
   The user should initialize the vector, x, with the initial guess
   for the nonlinear solve prior to calling SNESSolve.  In particular,
   to employ an initial guess of zero, the user should explicitly set
   this vector to zero by calling VecSet().

.keywords: SNES, nonlinear, solve

.seealso: SNESCreate(), SNESDestroy()
@*/
int SNESSolve(SNES snes,Vec x,int *its)
{
  int ierr, flg;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  PetscValidIntPointer(its);
  if (!snes->setup_called) {ierr = SNESSetUp(snes,x); CHKERRQ(ierr);}
  else {snes->vec_sol = snes->vec_sol_always = x;}
  PLogEventBegin(SNES_Solve,snes,0,0,0);
  snes->nfuncs = 0; snes->linear_its = 0; snes->nfailures = 0;
  ierr = (*(snes)->solve)(snes,its); CHKERRQ(ierr);
  PLogEventEnd(SNES_Solve,snes,0,0,0);
  ierr = OptionsHasName(PETSC_NULL,"-snes_view", &flg); CHKERRQ(ierr);
  if (flg) { ierr = SNESView(snes,VIEWER_STDOUT_WORLD); CHKERRQ(ierr); }
  PetscFunctionReturn(0);
}

/* --------- Internal routines for SNES Package --------- */

#undef __FUNC__
#define __FUNC__ "SNESSetType"
/*@
   SNESSetType - Sets the method for the nonlinear solver.

   Input Parameters:
.  snes - the SNES context
.  method - a known method

  Options Database Command:
$ -snes_type  <method>
$    Use -help for a list of available methods
$    (for instance, ls or tr)

   Notes:
   See "petsc/include/snes.h" for available methods (for instance)
$  Systems of nonlinear equations:
$    SNES_EQ_LS - Newton's method with line search
$    SNES_EQ_TR - Newton's method with trust region
$  Unconstrained minimization:
$    SNES_UM_TR - Newton's method with trust region
$    SNES_UM_LS - Newton's method with line search

  Normally, it is best to use the SNESSetFromOptions() command and then
  set the SNES solver type from the options database rather than by using
  this routine.  Using the options database provides the user with
  maximum flexibility in evaluating the many nonlinear solvers.
  The SNESSetType() routine is provided for those situations where it
  is necessary to set the nonlinear solver independently of the command
  line or options database.  This might be the case, for example, when
  the choice of solver changes during the execution of the program,
  and the user's application is taking responsibility for choosing the
  appropriate method.  In other words, this routine is for the advanced user.

.keywords: SNES, set, method
@*/
int SNESSetType(SNES snes,SNESType method)
{
  int ierr;
  int (*r)(SNES);

  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  if (snes->type == (int) method) PetscFunctionReturn(0);

  /* Get the function pointers for the iterative method requested */
  if (!SNESRegisterAllCalled) {ierr = SNESRegisterAll(); CHKERRQ(ierr);}
  r =  (int (*)(SNES))NRFindRoutine( __SNESList, (int)method, (char *)0 );
  if (!r) {SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,0,"Unknown method");}
  if (snes->data) PetscFree(snes->data);
  snes->set_method_called = 1;
  ierr = (*r)(snes);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}

/* --------------------------------------------------------------------- */
#undef __FUNC__
#define __FUNC__ "SNESRegister"
/*@C
   SNESRegister - Adds the method to the nonlinear solver package, given
   a function pointer and a nonlinear solver name of the type SNESType.

   Input Parameters:
.  name - either a predefined name such as SNES_EQ_LS, or SNES_NEW
          to indicate a new user-defined solver
.  sname - corresponding string for name
.  create - routine to create method context

   Output Parameter:
.  oname - type associated with this new solver

   Notes:
   Multiple user-defined nonlinear solvers can be added by calling
   SNESRegister() with the input parameter "name" set to be SNES_NEW;
   each call will return a unique solver type in the output
   parameter "oname".

.keywords: SNES, nonlinear, register

.seealso: SNESRegisterAll(), SNESRegisterDestroy()
@*/
int SNESRegister(SNESType name,SNESType *oname, char *sname, int (*create)(SNES))
{
  int        ierr;
  static int numberregistered = 0;

  PetscFunctionBegin;
  if (name == SNES_NEW) name = (SNESType) ((int) SNES_NEW + numberregistered++);

  if (oname) *oname = name;
  if (!__SNESList) {ierr = NRCreate(&__SNESList); CHKERRQ(ierr);}
  NRRegister( __SNESList, (int) name, sname, (int (*)(void*))create );
  PetscFunctionReturn(0);
}

/* --------------------------------------------------------------------- */
#undef __FUNC__
#define __FUNC__ "SNESRegisterDestroy"
/*@C
   SNESRegisterDestroy - Frees the list of nonlinear solvers that were
   registered by SNESRegister().

.keywords: SNES, nonlinear, register, destroy

.seealso: SNESRegisterAll(), SNESRegisterAll()
@*/
int SNESRegisterDestroy()
{
  PetscFunctionBegin;
  if (__SNESList) {
    NRDestroy( __SNESList );
    __SNESList = 0;
  }
  SNESRegisterAllCalled = 0;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESGetType"
/*@C
   SNESGetType - Gets the SNES method type and name (as a string).

   Input Parameter:
.  snes - nonlinear solver context

   Output Parameter:
.  method - SNES method (or use PETSC_NULL)
.  name - name of SNES method (or use PETSC_NULL)

.keywords: SNES, nonlinear, get, method, name
@*/
int SNESGetType(SNES snes, SNESType *method,char **name)
{
  int ierr;

  PetscFunctionBegin;
  if (!__SNESList) {ierr = SNESRegisterAll(); CHKERRQ(ierr);}
  if (method) *method = (SNESType) snes->type;
  if (name)  *name = NRFindName( __SNESList, (int) snes->type );
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESGetSolution"
/*@C
   SNESGetSolution - Returns the vector where the approximate solution is
   stored.

   Input Parameter:
.  snes - the SNES context

   Output Parameter:
.  x - the solution

.keywords: SNES, nonlinear, get, solution

.seealso: SNESGetFunction(), SNESGetGradient(), SNESGetSolutionUpdate()
@*/
int SNESGetSolution(SNES snes,Vec *x)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  *x = snes->vec_sol_always;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESGetSolutionUpdate"
/*@C
   SNESGetSolutionUpdate - Returns the vector where the solution update is
   stored.

   Input Parameter:
.  snes - the SNES context

   Output Parameter:
.  x - the solution update

   Notes:
   This vector is implementation dependent.

.keywords: SNES, nonlinear, get, solution, update

.seealso: SNESGetSolution(), SNESGetFunction
@*/
int SNESGetSolutionUpdate(SNES snes,Vec *x)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  *x = snes->vec_sol_update_always;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESGetFunction"
/*@C
   SNESGetFunction - Returns the vector where the function is stored.

   Input Parameter:
.  snes - the SNES context

   Output Parameter:
.  r - the function

   Notes:
   SNESGetFunction() is valid for SNES_NONLINEAR_EQUATIONS methods only
   Analogous routines for SNES_UNCONSTRAINED_MINIMIZATION methods are
   SNESGetMinimizationFunction() and SNESGetGradient();

.keywords: SNES, nonlinear, get, function

.seealso: SNESSetFunction(), SNESGetSolution(), SNESGetMinimizationFunction(),
          SNESGetGradient()
@*/
int SNESGetFunction(SNES snes,Vec *r)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  if (snes->method_class != SNES_NONLINEAR_EQUATIONS) {
    SETERRQ(PETSC_ERR_ARG_WRONG,0,"For SNES_NONLINEAR_EQUATIONS only");
  }
  *r = snes->vec_func_always;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESGetGradient"
/*@C
   SNESGetGradient - Returns the vector where the gradient is stored.

   Input Parameter:
.  snes - the SNES context

   Output Parameter:
.  r - the gradient

   Notes:
   SNESGetGradient() is valid for SNES_UNCONSTRAINED_MINIMIZATION methods
   only.  An analogous routine for SNES_NONLINEAR_EQUATIONS methods is
   SNESGetFunction().

.keywords: SNES, nonlinear, get, gradient

.seealso: SNESGetMinimizationFunction(), SNESGetSolution(), SNESGetFunction()
@*/
int SNESGetGradient(SNES snes,Vec *r)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  if (snes->method_class != SNES_UNCONSTRAINED_MINIMIZATION) {
    SETERRQ(PETSC_ERR_ARG_WRONG,0,"For SNES_UNCONSTRAINED_MINIMIZATION only");
  }
  *r = snes->vec_func_always;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESGetMinimizationFunction"
/*@
   SNESGetMinimizationFunction - Returns the scalar function value for
   unconstrained minimization problems.

   Input Parameter:
.  snes - the SNES context

   Output Parameter:
.  r - the function

   Notes:
   SNESGetMinimizationFunction() is valid for SNES_UNCONSTRAINED_MINIMIZATION
   methods only.  An analogous routine for SNES_NONLINEAR_EQUATIONS methods is
   SNESGetFunction().

.keywords: SNES, nonlinear, get, function

.seealso: SNESGetGradient(), SNESGetSolution(), SNESGetFunction()
@*/
int SNESGetMinimizationFunction(SNES snes,double *r)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  PetscValidScalarPointer(r);
  if (snes->method_class != SNES_UNCONSTRAINED_MINIMIZATION) {
    SETERRQ(PETSC_ERR_ARG_WRONG,0,"For SNES_UNCONSTRAINED_MINIMIZATION only");
  }
  *r = snes->fc;
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESSetOptionsPrefix"
/*@C
   SNESSetOptionsPrefix - Sets the prefix used for searching for all
   SNES options in the database.

   Input Parameter:
.  snes - the SNES context
.  prefix - the prefix to prepend to all option names

   Notes:
   A hyphen (-) must NOT be given at the beginning of the prefix name.
   The first character of all runtime options is AUTOMATICALLY the
   hyphen.

.keywords: SNES, set, options, prefix, database

.seealso: SNESSetFromOptions()
@*/
int SNESSetOptionsPrefix(SNES snes,char *prefix)
{
  int ierr;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  ierr = PetscObjectSetOptionsPrefix((PetscObject)snes, prefix); CHKERRQ(ierr);
  ierr = SLESSetOptionsPrefix(snes->sles,prefix);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESAppendOptionsPrefix"
/*@C
   SNESAppendOptionsPrefix - Appends to the prefix used for searching for all
   SNES options in the database.

   Input Parameter:
.  snes - the SNES context
.  prefix - the prefix to prepend to all option names

   Notes:
   A hyphen (-) must NOT be given at the beginning of the prefix name.
   The first character of all runtime options is AUTOMATICALLY the
   hyphen.

.keywords: SNES, append, options, prefix, database

.seealso: SNESGetOptionsPrefix()
@*/
int SNESAppendOptionsPrefix(SNES snes,char *prefix)
{
  int ierr;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  ierr = PetscObjectAppendOptionsPrefix((PetscObject)snes, prefix); CHKERRQ(ierr);
  ierr = SLESAppendOptionsPrefix(snes->sles,prefix);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESGetOptionsPrefix"
/*@
   SNESGetOptionsPrefix - Sets the prefix used for searching for all
   SNES options in the database.

   Input Parameter:
.  snes - the SNES context

   Output Parameter:
.  prefix - pointer to the prefix string used

.keywords: SNES, get, options, prefix, database

.seealso: SNESAppendOptionsPrefix()
@*/
int SNESGetOptionsPrefix(SNES snes,char **prefix)
{
  int ierr;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);
  ierr = PetscObjectGetOptionsPrefix((PetscObject)snes, prefix); CHKERRQ(ierr);
  PetscFunctionReturn(0);
}

#undef __FUNC__
#define __FUNC__ "SNESPrintHelp"
/*@
   SNESPrintHelp - Prints all options for the SNES component.

   Input Parameter:
.  snes - the SNES context

   Options Database Keys:
$  -help, -h

.keywords: SNES, nonlinear, help

.seealso: SNESSetFromOptions()
@*/
int SNESPrintHelp(SNES snes)
{
  char                p[64];
  SNES_KSP_EW_ConvCtx *kctx;
  int                 ierr;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(snes,SNES_COOKIE);

  PetscStrcpy(p,"-");
  if (snes->prefix) PetscStrcat(p, snes->prefix);

  kctx = (SNES_KSP_EW_ConvCtx *)snes->kspconvctx;

  (*PetscHelpPrintf)(snes->comm,"SNES options ------------------------------------------------\n");
  ierr = NRPrintTypes(snes->comm,stdout,snes->prefix,"snes_type",__SNESList);CHKERRQ(ierr);
  (*PetscHelpPrintf)(snes->comm," %ssnes_view: view SNES info after each nonlinear solve\n",p);
  (*PetscHelpPrintf)(snes->comm," %ssnes_max_it <its>: max iterations (default %d)\n",p,snes->max_its);
  (*PetscHelpPrintf)(snes->comm," %ssnes_max_funcs <maxf>: max function evals (default %d)\n",p,snes->max_funcs);
  (*PetscHelpPrintf)(snes->comm," %ssnes_stol <stol>: successive step tolerance (default %g)\n",p,snes->xtol);
  (*PetscHelpPrintf)(snes->comm," %ssnes_atol <atol>: absolute tolerance (default %g)\n",p,snes->atol);
  (*PetscHelpPrintf)(snes->comm," %ssnes_rtol <rtol>: relative tolerance (default %g)\n",p,snes->rtol);
  (*PetscHelpPrintf)(snes->comm," %ssnes_trtol <trtol>: trust region parameter tolerance (default %g)\n",p,snes->deltatol);
  (*PetscHelpPrintf)(snes->comm," SNES Monitoring Options: Choose any of the following\n");
  (*PetscHelpPrintf)(snes->comm,"   %ssnes_cancelmonitors: cancels all monitors hardwired in code\n",p);
  (*PetscHelpPrintf)(snes->comm,"   %ssnes_monitor: use default SNES convergence monitor, prints\n\
    residual norm at each iteration.\n",p);
  (*PetscHelpPrintf)(snes->comm,"   %ssnes_smonitor: same as the above, but prints fewer digits of the\n\
    residual norm for small residual norms. This is useful to conceal\n\
    meaningless digits that may be different on different machines.\n",p);
  (*PetscHelpPrintf)(snes->comm,"   %ssnes_xmonitor [x,y,w,h]: use X graphics convergence monitor\n",p);
  if (snes->type == SNES_NONLINEAR_EQUATIONS) {
    (*PetscHelpPrintf)(snes->comm,
     " Options for solving systems of nonlinear equations only:\n");
    (*PetscHelpPrintf)(snes->comm,"   %ssnes_fd: use finite differences for Jacobian\n",p);
    (*PetscHelpPrintf)(snes->comm,"   %ssnes_mf: use matrix-free Jacobian\n",p);
    (*PetscHelpPrintf)(snes->comm,"   %ssnes_mf_operator:use matrix-free Jacobian and user-provided preconditioning matrix\n",p);
    (*PetscHelpPrintf)(snes->comm,"   %ssnes_no_convergence_test: Do not test for convergence, always run to SNES max its\n",p);
    (*PetscHelpPrintf)(snes->comm,"   %ssnes_ksp_ew_conv: use Eisenstat-Walker computation of KSP rtol. Params are:\n",p);
    (*PetscHelpPrintf)(snes->comm,
     "     %ssnes_ksp_ew_version <version> (1 or 2, default is %d)\n",p,kctx->version);
    (*PetscHelpPrintf)(snes->comm,
     "     %ssnes_ksp_ew_rtol0 <rtol0> (0 <= rtol0 < 1, default %g)\n",p,kctx->rtol_0);
    (*PetscHelpPrintf)(snes->comm,
     "     %ssnes_ksp_ew_rtolmax <rtolmax> (0 <= rtolmax < 1, default %g)\n",p,kctx->rtol_max);
    (*PetscHelpPrintf)(snes->comm,
     "     %ssnes_ksp_ew_gamma <gamma> (0 <= gamma <= 1, default %g)\n",p,kctx->gamma);
    (*PetscHelpPrintf)(snes->comm,
     "     %ssnes_ksp_ew_alpha <alpha> (1 < alpha <= 2, default %g)\n",p,kctx->alpha);
    (*PetscHelpPrintf)(snes->comm,
     "     %ssnes_ksp_ew_alpha2 <alpha2> (default %g)\n",p,kctx->alpha2);
    (*PetscHelpPrintf)(snes->comm,
     "     %ssnes_ksp_ew_threshold <threshold> (0 < threshold < 1, default %g)\n",p,kctx->threshold);
  } else if (snes->type == SNES_UNCONSTRAINED_MINIMIZATION) {
    (*PetscHelpPrintf)(snes->comm,
     " Options for solving unconstrained minimization problems only:\n");
    (*PetscHelpPrintf)(snes->comm,"   %ssnes_fmin <ftol>: minimum function tolerance (default %g)\n",p,snes->fmin);
    (*PetscHelpPrintf)(snes->comm,"   %ssnes_fd: use finite differences for Hessian\n",p);
    (*PetscHelpPrintf)(snes->comm,"   %ssnes_mf: use matrix-free Hessian\n",p);
  }
  (*PetscHelpPrintf)(snes->comm," Run program with -help %ssnes_type <method> for help on ",p);
  (*PetscHelpPrintf)(snes->comm,"a particular method\n");
  if (snes->printhelp) {
    ierr = (*snes->printhelp)(snes,p);CHKERRQ(ierr);
  }
  PetscFunctionReturn(0);
}